Syllabus

COMPRESSIBLE FLOW–FUNDAMENTALS [5 HOURS]: Compressibility effect, Brief Review of the thermodynamic Gases, Ideal (perfect) and real gas, TPG, CPG, Evaluation of change of entropy for TPG & CPG, Isentropic relations, Compressibility factor, Principle of Corresponding States, Van der Waals Equation, Molecular theory of gases, Kinetic or dynamic theory, Statistical thermodynamics, Intermolecular interaction in gas.

WAVE PROPAGATION PHENOMENA [2 HOURS]: Wave propagation in compressible media, velocity of sound, Mach number, types of waves, Mach cone, Mach angle, Mach wave.

ONE-DIMENSIONAL COMPRESSIBLE FLOW [5 HOURS]: Steady flow energy equation for one-dimensional compressible flow, Stagnation state, Isentropic relations, One-dimensional adiabatic flow, Relation between local fluid velocity and local sonic velocity, Adiabatic Ellipse, Maximum Discharge Velocity, Critical state of flowing gas, Critical state relations, Characteristic Mach number, One-dimensional isentropic flow, Effect of Mach number on the behavior of compressible flow.

SHOCK WAVE [5 HOURS]: Stationary normal shock waves, Normal shock wave relations in terms of Mach number, The pitot tube in supersonic flow, Moving normal shock waves, Oblique shock wave, Oblique shock wave relations, Reflection of oblique shock waves, Interaction of oblique shock waves.

ONE-DIMENSIONAL FLOW THROUGH VARIABLE AREA DUCTS [5 HOURS]:
Variation of fluid velocity with flow area for a steady adiabatic/isentropic 1D compressible flow, Subsonic and supersonic flow through converging duct and divergent ducts, Calculations of maximum mass flow rate, Area ratio as a function of Mach number, Mass flow rate as a function of exit Mach number. Operating characteristics of nozzles, Convergent nozzle, Convergent-divergent nozzle, Flow in convergent-divergent nozzle with shock, Convergent-divergent supersonic diffusers.

FLOW THROUGH CONSTANT AREA DUCTS WITH FRICTION [5 HOURS]: One dimensional adiabatic flow with friction, Fanno curves and Fanno flow equation, variation of flow properties, variation of flow properties and variation of Mach number with duct length. Isothermal flow with friction in constant area ducts, Normal shock in Fanno flow.

FLOW THROUGH CONSTANT WITH HEAT TRANSFER [5 HOURS]: Flow in constant area ducts with heat transfer (Rayleigh flow), Rayleigh line and Rayleigh flow equation, variation of flow properties in Rayleigh flow, maximum heat transfer in Reyleigh flow, Normal shock in Rayleigh flow.

FREE MOLECULAR FLOW [4 HOURS]: Hypersonic Flow, High-Temperature Flows, Low-Density Flows, Knudsen Number, Low-Density Flow Regimes, Slip Flow, Free Molecular Flow.

Understand the basic difference between incompressible and compressible flow, particularly in relation to gas dynamics

Understand and apply mathematical models, charts, and tables for the analysis of gas dynamics

Analyze isentropic flows, shock waves, heat transfer, effects of friction in relation to gas dynamics

Understand and explain the aspects of hypersonic flows, low density flows and free molecular flows of gases

CO1. Understand and identify the basic difference between incompressible and compressible flow, particularly in relation to gas dynamics
CO2. Understand and apply mathematical models, charts, and tables for the analysis of gas dynamics
CO3. Analyze isentropic flows, shock waves, heat transfer, effects of friction in relation to gas dynamics
CO4. Understand and explain the aspects of hypersonic flows, low density flows and free molecular flows of gases
CO5. Examine and predict the requirements in a system or equipment handling gases

H. W. Liepmann, and A. Roshko, Elements of Gas Dynamics, Dover Publications, Incorporated , 1st Edition (2024)

Patrick H. Oosthuizen, ?and William E. Carscallen, Introduction to Compressible Fluid Flow, CRC Press , 2nd Edition (2024)

V. Babu, Fundamentals of Gas Dynamics, Springer International Publishing , 1st Edition (2021)

Akihiro Sasoh, Compressible Fluid Dynamics and Shock Waves, Springer Nature Singapore , 1st Edition (2020)